Convert Decimal 0.08 to Words: Place Value Practice

Decimal Place Value with Hundredths Position

Rewrite the following decimal in words:

0.08

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Rewrite the following decimal in words:

0.08

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Determine the place value of the decimal number.
  • Step 2: Convert the decimal into a fraction based on its place value.
  • Step 3: Express the fraction in words.

Now, let's work through each step:
Step 1: The decimal 0.080.08 has '8' in the second position to the right of the decimal point, which identifies the hundredths place.
Step 2: Based on this place value, we convert 0.080.08 to the fraction 8100\frac{8}{100} because the digit 8 represents 8 parts out of 100.
Step 3: The fraction 8100\frac{8}{100} can be expressed in words as "8 divided by 100".

Therefore, the solution to the problem is "8 divided by 100".

3

Final Answer

8 divided by 100

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Second decimal position represents hundredths place
  • Technique: Convert 0.08 to fraction 8100 \frac{8}{100} using position
  • Check: Verify 8 hundredths equals 8 divided by 100 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing decimal positions and using wrong denominator
    Don't say 0.08 is 8 divided by 10 or 8 divided by 1000! This happens when you miscount decimal places. The first position after decimal is tenths, second is hundredths. Always count carefully: 0.08 has 8 in the hundredths place, so it's 8 divided by 100.

Practice Quiz

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Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

How do I know which decimal place I'm looking at?

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Count positions from the decimal point! First position after decimal = tenths, second position = hundredths, third position = thousandths. In 0.08, the 8 is in the second position, so it's hundredths.

Why isn't 0.08 the same as 8 divided by 10?

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Because 810 \frac{8}{10} equals 0.8, not 0.08! The position of the digit matters. 8 in the tenths place = 0.8, but 8 in the hundredths place = 0.08.

What if there are zeros before the 8?

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The zero in 0.08 is a placeholder that shows there are no tenths. It doesn't change the fact that 8 is in the hundredths position. Always focus on where the non-zero digit is located.

How can I remember the decimal place names?

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Use this pattern: ths come after the decimal! Tenths, hundredths, thousandths. The names match whole number places but add 'ths' at the end.

Is there another way to write 8 divided by 100?

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Yes! You can write it as 8100 \frac{8}{100} (fraction form), 0.08 (decimal form), or eight hundredths (word form). All three represent the same value!

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